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Finding the Fourth Proportional to 4,181.92, 6,269.04 and 1,444

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Solution

The fourth proportional to 4,181.92, 6,269.04 and 1,444 is: 2,164.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181.92 : 6,269.04 = 1,444 : x
  2. Step 2: Convert to fraction form
    4,181.92/6,269.04 = 1,444/x
  3. Step 3: Cross multiply
    4,181.92x = 6,269.04 × 1,444
  4. Step 4: Simplify right side
    4,181.92x = 9,052,493.76
  5. Step 5: Solve for x
    x = 9,052,493.76/4,181.92
  6. Step 6: Final answer
    x = 2,164.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.